Question

The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
Responses
A (9, 8)(9, 8)
B (−6, 3)(−6, 3)
C (−5, −2)(−5, −2)
D (−3, −8)

Answer 1

I don't have the table you mention. To preserve the relation as a function, any added point must not give an x-value that is already paired with a different y. So:

- If the new point's x is not already in the table, it always preserves the function.
- If the new point's x is already in the table, it preserves the function only if its y equals the existing y for that x.

Send the table (or the list of existing x-values and their y's) and I’ll pick which option (A–D) is correct.